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math.AP2023
On the energy and helicity conservation of the incompressible Euler equations
Yanqing Wang, Wei Wei, Gnag Wu +1
In this paper, we are concerned with the minimal regularity of weak solutions implying the law of balance for both energy and helicity in the incompressible Euler equations. In the…
math.DG2023
The -curvature equation on a compact manifold with boundary
Xuezhang Chen, Wei Wei
We first establish local estimates of solutions to the -curvature equation with nonlinear Neumann boundary condition. Then, under assumption that the mean curvature of a…